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Finding the Third Proportional to 205,936 and 421,906

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Solution

The third proportional to 205,936 and 421,906 is: 864,368.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,936 : 421,906 = 421,906 : x
  2. Step 2: Convert to fraction form
    205,936/421,906 = 421,906/x
  3. Step 3: Cross multiply
    205,936x = 421,906 × 421,906
  4. Step 4: Simplify right side
    205,936x = 178,004,672,836
  5. Step 5: Solve for x
    x = 178,004,672,836/205,936
  6. Step 6: Final answer
    x = 864,368.90

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.